Number of tilings of a 6 X n rectangle using integer-sided rectangular tiles of area 6.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =7a(5) =13a(6) =46a(7) =88a(8) =209a(9) =473a(10) =1002a(11) =2120a(12) =5197a(13) =11085a(14) =25384a(15) =57234a(16) =126959a(17) =279883a(18) =640387a(19) =1412460a(20) =3182794a(21) =7138463a(22) =15963680a(23) =35593612a(24) =80143244a(25) =178644947a(26) =400681480a(27) =897313564a(28) =2008904252a(29) =4492651815